Circular Pool

Given two balls D and E on the same diameter circular pool, determine the path you must follow one of them to bounce back after a time in the perimeter of the pool, is the other.



Path Billiard Balls in a Circular

Given two balls located at the points A and B on the same diameter of a circular pool (center C), determine the path you must follow one of them to bounce back after a time in the perimeter of the pool, is the another.

1 - There is a first path that offers no difficulty, which is striking in the same direction as the diameter through A and B. Raise another less obvious.

2 - With center A and B and C the center radius to draw two circles.



3 - Draw any straight line that starts from A (line A-1) and parallel to it by B

4 - Connect the cut-points 1 and 2, the two parallel circumferences

5 - Extend the union of A with B to cut the line above point H

6 - Centre at the midpoint of C-H and C or H radius to draw a circle

7 - Where the circle intersects the table (red circle), point X, is the point where the ball will come to the band for the rebound. I've only drawn the other solution is symmetric.

8 - Join A with X and B and that this is the path to follow.